Small Extended Generalized Quadrangles

P. J. Cameron; P. H. Fisher

doi:10.1016/S0195-6698(13)80023-6

Small Extended Generalized Quadrangles

P. J. Cameron^*, P. H. Fisher

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We consider extensions of generalized quadrangles with parameters (s, t), and establish lower bounds (in terms of s and t) for the number of points, sometimes under additional hypotheses. We also study the structure of geometries attaining these bounds, give several constructions and some uniqueness proofs, and examine the question of further extensions.

Original language	English
Pages (from-to)	403-413
Number of pages	11
Journal	European Journal of Combinatorics
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/S0195-6698(13)80023-6
Publication status	Published - 1 Jan 1990

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title = "Small Extended Generalized Quadrangles",

abstract = "We consider extensions of generalized quadrangles with parameters (s, t), and establish lower bounds (in terms of s and t) for the number of points, sometimes under additional hypotheses. We also study the structure of geometries attaining these bounds, give several constructions and some uniqueness proofs, and examine the question of further extensions.",

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AU - Fisher, P. H.

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AB - We consider extensions of generalized quadrangles with parameters (s, t), and establish lower bounds (in terms of s and t) for the number of points, sometimes under additional hypotheses. We also study the structure of geometries attaining these bounds, give several constructions and some uniqueness proofs, and examine the question of further extensions.

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DO - 10.1016/S0195-6698(13)80023-6

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

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ER -

Small Extended Generalized Quadrangles

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